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Score : $200$ points

### Problem Statement

You are given an integer sequence $A$ of length $N$. Find the maximum absolute difference of two elements (with different indices) in $A$.

### Constraints

• $2 \leq N \leq 100$
• $1 \leq A_i \leq 10^9$
• All values in input are integers.

### Input

Input is given from Standard Input in the following format:

$N$
$A_1$ $A_2$ $...$ $A_N$


### Output

Print the maximum absolute difference of two elements (with different indices) in $A$.

### Sample Input 1

4
1 4 6 3


### Sample Output 1

5


The maximum absolute difference of two elements is $A_3-A_1=6-1=5$.

### Sample Input 2

2
1000000000 1


### Sample Output 2

999999999


### Sample Input 3

5
1 1 1 1 1


### Sample Output 3

0